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Finding the Fourth Proportional to 3,762.99, 5,635.76 and 3,201.57

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Solution

The fourth proportional to 3,762.99, 5,635.76 and 3,201.57 is: 4,794.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.99 : 5,635.76 = 3,201.57 : x
  2. Step 2: Convert to fraction form
    3,762.99/5,635.76 = 3,201.57/x
  3. Step 3: Cross multiply
    3,762.99x = 5,635.76 × 3,201.57
  4. Step 4: Simplify right side
    3,762.99x = 18,043,264.14
  5. Step 5: Solve for x
    x = 18,043,264.14/3,762.99
  6. Step 6: Final answer
    x = 4,794.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.